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http://dx.doi.org/10.14403/jcms.2016.29.4.573

ON A CHARACTERIZATION OF SECURE TRINOMIALS ON ℤ2n  

Rhee, Min Surp (Department of Mathematics Dankook University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.29, no.4, 2016 , pp. 573-584 More about this Journal
Abstract
Invertible transformations over n-bit words are essential ingredients in many cryptographic constructions. Such invertible transformations are usually represented as a composition of simpler operations such as linear functions, S-P networks, Feistel structures and T-functions. Among them T-functions are probably invertible transformations and are very useful in stream ciphers. In this paper we will characterize a secure trinomial on ${\mathbb{Z}}_{2^n}$ which generates an n-bit word sequence without consecutive elements of period $2^n$.
Keywords
a T-function; an n-bit word; period; a single cycle property; a secure trinomial;
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  • Reference
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